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复合刚性Volterra泛函微分方程分裂单支θ-方法
Splitting one-leg θ-method for composite stiff Volterra functional differential equations
【摘要】 构造了求解一类刚性泛函微分方程问题的分裂单支θ-方法,获得了当■时稳定性和收敛性结果,数值试验表明本文构造的分裂单支θ-方法在求解某些问题时,比已有文献中类似的方法更加有效.
【Abstract】 A splitting one-leg θ-method for composite stiff Volterra functional differential equations is proposed. The stability and convergence results of the method are given when ■. Numerical experiments show that the proposed one-leg θ-method is more effective than the similar method in the literature in solving some problems.
【关键词】 Volterra泛函微分方程;
分裂单支方法;
稳定性;
收敛性;
刚性问题;
【Key words】 Volterra functional differential equation; splitting one-leg method; stability; convergence; stiff problem;
【Key words】 Volterra functional differential equation; splitting one-leg method; stability; convergence; stiff problem;
【基金】 国家自然科学基金(No.11971414)
- 【文献出处】 湘潭大学学报(自然科学版) ,Journal of Xiangtan University(Natural Science Edition) , 编辑部邮箱 ,2021年01期
- 【分类号】O175
- 【下载频次】60